Unitary Quantization of the Gowdy T3 Cosmology

Details Unitary Quantization of the Gowdy T3 Cosmology Unitary Quantization of the Gowdy T3 Cosmology

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2671c&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

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We analyze the quantization of the linearly polarized Gowdy spacetimes with the spatial topology of a three-torus. The physical, local degrees of freedom of these cosmologies are described by a scalar field that satisfies a Klein-Gordon type equation in an auxiliary background. We show that a convenient choice of the basic field renders this background static. We quantize the Gowdy model by means of a Fock quantization of this scalar field and prove that the evolution obtained in this way is unitary, in contrast with the situation found previously in other quantizations. In this sense, our construction provides the first consistent quantum description of an inhomogeneous cosmological model.

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